3 citations · 5 across the 9 of their papers we have counts for
8 papers · 1 filter
Weak entropy solution for a Keller-Segel type fluid model
Li Chen, Feimin Huang, Lingjun Liu
In this paper, we consider a Keller-Segel type fluid model, which is a kind of Euler-Poisson system with a self-gravitational force. We show that similar to the parabolic case, the…
On the global classical solution to compressible Euler system with singular velocity alignment
Li Chen, Changhui Tan, Lining Tong
We consider a compressible Euler system with singular velocity alignment, known as the Euler-alignment system, describing the flocking behaviors of large animal groups. We establis…
The global classical solution to compressible Euler system with velocity alignment
Lining Tong, Li Chen, Simone Göttlich +1
In this paper, the compressible Euler system with velocity alignment and damping is considered, where the influence matrix of velocity alignment is not positive definite. Sound spe…
Mathematical models for cell migration: a nonlocal perspective
Li Chen, Kevin Painter, Christina Surulescu +1
We provide a review of recent advancements in nonlocal continuous models for migration, mainly from the perspective of its involvement in embryonal development and cancer invasion.…
On a class of reaction-diffusion equations with aggregation
Li Chen, Laurent Desvillettes, Evangelos Latos
In this paper, global-in-time existence and blow up results are shown for a reaction-diffusion equation appearing in the theory of aggregation phenomena (including chemotaxis). Pro…
Chemotaxis model with subcritical exponent in nonlocal reaction
Shen Bian, Li Chen, Evangelos A. Latos
This paper deals with a parabolic-elliptic chemotaxis system with nonlocal type of source in the whole space. It's proved that the initial value problem possesses a unique global s…